#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const ll inf = 1e18;
ll s(int x) {
return (ll)x * x;
}
struct Line {
mutable ll k, m, p;
bool operator<(const Line& o) const { return k < o.k; }
bool operator<(ll x) const { return p < x; }
};
struct LineContainer : multiset<Line, less<>> {
// (for doubles, use inf = 1/.0, div(a,b) = a/b)
static const ll inf = LLONG_MAX;
ll div(ll a, ll b) { // floored division
return a / b - ((a ^ b) < 0 && a % b); }
bool isect(iterator x, iterator y) {
if (y == end()) return x->p = inf, 0;
if (x->k == y->k) x->p = x->m > y->m ? inf : -inf;
else x->p = div(y->m - x->m, x->k - y->k);
return x->p >= y->p;
}
void add(ll k, ll m) {
auto z = insert({k, m, 0}), y = z++, x = y;
while (isect(y, z)) z = erase(z);
if (x != begin() && isect(--x, y)) isect(x, y = erase(y));
while ((y = x) != begin() && (--x)->p >= y->p)
isect(x, erase(y));
}
ll query(ll x) {
assert(!empty());
auto l = *lower_bound(x);
return l.k * x + l.m;
}
};
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
vector<int> h(n), w(n);
for (int &i : h) cin >> i;
for (int &i : w) cin >> i;
vector<ll> dp(n);
dp[0] = -w[0];
LineContainer a;
a.add(2 * h[0], -1LL * h[0] * h[0] - dp[0]);
for (int i = 1; i < n; i++) {
a.add(2 * h[i], -1LL * h[i] * h[i] - (dp[i] = 1LL * h[i] * h[i] - w[i] - a.query(h[i])));
}
ll ans = dp[n - 1];
for (int i : w) ans += i;
cout << ans;
return 6/22;
}
